3430022200 has 192 divisors, whose sum is σ = 9256550400. Its totient is φ = 1169625600.

The previous prime is 3430022191. The next prime is 3430022213. The reversal of 3430022200 is 22200343.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681161 + ... + 2682439.

It is an arithmetic number, because the mean of its divisors is an integer number (48211200).

Almost surely, 2^3430022200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200).

3430022200 is an abundant number, since it is smaller than the sum of its proper divisors (5826528200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430022200 is a wasteful number, since it uses less digits than its factorization.

3430022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3430022200 is about 58566.3913861867. The cubic root of 3430022200 is about 1508.1075366514.

Adding to 3430022200 its reverse (22200343), we get a palindrome (3452222543).

The spelling of 3430022200 in words is "three billion, four hundred thirty million, twenty-two thousand, two hundred".